72120275108 has 96 divisors (see below), whose sum is σ = 154347379200. Its totient is φ = 28783134720.

The previous prime is 72120275053. The next prime is 72120275111. The reversal of 72120275108 is 80157202127.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19644113 + ... + 19647783.

It is an arithmetic number, because the mean of its divisors is an integer number (1607785200).

Almost surely, 2^72120275108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72120275108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77173689600).

72120275108 is an abundant number, since it is smaller than the sum of its proper divisors (82227104092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72120275108 is a wasteful number, since it uses less digits than its factorization.

72120275108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

The spelling of 72120275108 in words is "seventy-two billion, one hundred twenty million, two hundred seventy-five thousand, one hundred eight".